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Unified Diff: fusl/src/math/sinh.c

Issue 1573973002: Add a "fork" of musl as //fusl. (Closed) Base URL: https://github.com/domokit/mojo.git@master
Patch Set: Created 4 years, 11 months ago
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Index: fusl/src/math/sinh.c
diff --git a/fusl/src/math/sinh.c b/fusl/src/math/sinh.c
new file mode 100644
index 0000000000000000000000000000000000000000..00022c4e6ff6d8250ea238207a12199a1e349dac
--- /dev/null
+++ b/fusl/src/math/sinh.c
@@ -0,0 +1,39 @@
+#include "libm.h"
+
+/* sinh(x) = (exp(x) - 1/exp(x))/2
+ * = (exp(x)-1 + (exp(x)-1)/exp(x))/2
+ * = x + x^3/6 + o(x^5)
+ */
+double sinh(double x)
+{
+ union {double f; uint64_t i;} u = {.f = x};
+ uint32_t w;
+ double t, h, absx;
+
+ h = 0.5;
+ if (u.i >> 63)
+ h = -h;
+ /* |x| */
+ u.i &= (uint64_t)-1/2;
+ absx = u.f;
+ w = u.i >> 32;
+
+ /* |x| < log(DBL_MAX) */
+ if (w < 0x40862e42) {
+ t = expm1(absx);
+ if (w < 0x3ff00000) {
+ if (w < 0x3ff00000 - (26<<20))
+ /* note: inexact and underflow are raised by expm1 */
+ /* note: this branch avoids spurious underflow */
+ return x;
+ return h*(2*t - t*t/(t+1));
+ }
+ /* note: |x|>log(0x1p26)+eps could be just h*exp(x) */
+ return h*(t + t/(t+1));
+ }
+
+ /* |x| > log(DBL_MAX) or nan */
+ /* note: the result is stored to handle overflow */
+ t = 2*h*__expo2(absx);
+ return t;
+}
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